Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet

Abstract

We study the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice in the limit of strong easy-axis exchange anisotropy. We find, using only standard techniques of degenerate perturbation theory, that the model has a U(1) gauge symmetry generated by certain local rotations about the z-axis in spin space. Upon addition of an extra local interaction in this and a related model with spins on a three-dimensional network of corner-sharing octahedra, we can write down the exact ground state wavefunction with no further approximations. Using the properties of the soluble point we show that these models enter the U(1) spin liquid phase, a novel fractionalized spin liquid with an emergent U(1) gauge structure. This phase supports gapped S^z = 1/2 spinons carrying the U(1) ``electric'' gauge charge, a gapped topological point defect or ``magnetic'' monopole, and a gapless ``photon,'' which in spin language is a gapless, linearly dispersing S^z = 0 collective mode. There are power-law spin correlations with a nontrivial angular dependence, as well as novel U(1) topological order. This state is stable to ALL zero-temperature perturbations and exists over a finite extent of the phase diagram. Using a convenient lattice version of electric-magnetic duality, we develop the effective description of the U(1) spin liquid and the adjacent soluble point in terms of Gaussian quantum electrodynamics and calculate a few of the universal properties. The resulting picture is confirmed by our numerical analysis of the soluble point wavefunction. Finally, we briefly discuss the prospects for understanding this physics in a wider range of models and for making contact with experiments.

arXiv comment22 pages, 14 figures. Further minor changes. To appear in Phys. Rev. B

References in corpus (20)

• An RVB phase in the triangular lattice quantum dimer model
• Emergent excitations in a geometrically frustrated magnet
• Local spin resonance and spin-Peierls-like phase transition in a geometrically frustrated antiferromagnet
• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory
• Coulomb and Liquid Dimer Models in Three Dimensions
• Fermions, strings, and gauge fields in lattice spin models
• Ring exchange, the Bose metal, and bosonization in two dimensions
• Relaxation time for a dimer covering with height representation
• Exotic order in simple models of bosonic systems
• Fractionalization in the cuprates: Detecting the topological order
• Fractionalization, topological order, and cuprate superconductivity
• Striped phase in a quantum XY-model with ring exchange
• Monte Carlo simulation of ice models
• Microscopic models for fractionalized phases in strongly correlated systems
• Origin of Light
• Fractional charges in pyrochlore lattices
• Artificial light and quantum order in systems of screened dipoles
• Bosonic model with $Z_3$ fractionalization
• XY ring-exchange model on the triangular lattice

Cited by in corpus (493)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Quantum Spin Liquids
• Magnetic Monopoles in Spin Ice
• A toolbox for lattice spin models with polar molecules
• Quantum Spin Liquids
• A Rydberg Quantum Simulator
• Symmetry Protected Topological phases of Quantum Matter
• Fracton Topological Order, Generalized Lattice Gauge Theory and Duality
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• Quantum Excitations in Quantum Spin Ice
• Quasi-adiabatic Continuation of Quantum States: The Stability of Topological Ground State Degeneracy and Emergent Gauge Invariance
• The "Coulomb phase" in frustrated systems
• Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids
• Magnetic Charge Transport
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Spin Ice, Fractionalization and Topological Order
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
• Dipolar spin correlations in classical pyrochlore magnets
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• Three-body interactions with cold polar molecules
• Exotic phases induced by strong spin-orbit coupling in ordered double perovskites
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Boson topological insulators: A window into highly entangled quantum phases
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• Power-law spin correlations in pyrochlore antiferromagnets
• Theory of a continuous Mott transition in two dimensions
• Thermalization dynamics of a gauge theory on a quantum simulator
• Why spin ice obeys the ice rules
• Generic quantum spin ice
• Frustrated quantum rare-earth pyrochlores
• Thermodynamic Properties of the Dipolar Spin Ice Model
• Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• Quantum Ice : a quantum Monte Carlo study
• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• Confinement and lattice QED electric flux-tubes simulated with ultracold atoms
• Photons and electrons as emergent phenomena
• Magnetic-Moment Fragmentation and Monopole Crystallization
• Quantum Melting of Spin Ice: Emergent Cooperative Quadrupole and Chirality
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Gapless Symmetry Protected Topological Order
• Quantum Spin Ice Dynamics in the Dipole-Octupole Pyrochlore Magnet Ce${}_2$Zr${}_2$O${}_7$
• Disorder-Induced Entanglement in Spin Ice Pyrochlores
• Three dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite-D approximation
• Quantum Spin Ice and dimer models with Rydberg atoms
• Living on the edge : ground-state selection in quantum spin-ice pyrochlores
• Theory of multiple--phase competition in pyrochlore magnets with anisotropic exchange, with application to Yb2Ti2O7, Er2Ti2O7 and Er2Sn2O7
• From quantum mechanics to classical statistical physics: generalized Rokhsar-Kivelson Hamiltonians and the "Stochastic Matrix Form" decomposition
• Generalized Elitzur's Theorem and Dimensional Reduction
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Quantum scars from zero modes in an Abelian lattice gauge theory on ladders
• Emerging 2D Gauge theories in Rydberg configurable arrays
• Duality between $(2+1)d$ Quantum Critical Points
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
• Strong-weak coupling self-duality in the two-dimensional quantum phase transition of $p+ip$ superconducting arrays
• Candidate Quantum Spin Liquid in the Ce\textsuperscript{3+} Pyrochlore Stannate Ce${}_2$Sn${}_2$O${}_7$
• A quantum liquid of magnetic octupoles on the pyrochlore lattice
• Discrete Sliding Symmetries, Dualities, and Self-dualities of Quantum Orbital Compass Models and (p+ip) Superconducting Arrays
• Magnetic Monopole Dynamics in Spin Ice
• Magnetoelastic excitations in the pyrochlore spin liquid Tb${}_2$Ti${}_2$O${}_7$
• Frustrated two dimensional quantum magnets
• Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
• Debye-Hückel theory for spin ice at low temperature
• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Detecting Topological Order at Finite Temperature Using Entanglement Negativity
• Emergent Gravity at a Lifshitz Point from a Bose Liquid on the Lattice
• Disorder-free localization in an interacting two-dimensional lattice gauge theory
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Monte Carlo Study of Lattice Compact Quantum Electrodynamics with Fermionic Matter: the Parent State of Quantum Phases
• Fractonic Matter in Symmetry-Enriched U(1) Gauge Theory
• Experimental Insights into Ground State Selection of Quantum XY Pyrochlores
• On the origin of artificial electrodynamics and other stories in three-dimensional bosonic models
• On bipartite Rokhsar-Kivelson points and Cantor deconfinement
• Numerical evidence of quantum melting of spin ice: quantum-classical crossover
• Mechanisms of degeneracy breaking in pyrochlore antiferromagnets
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Pinch Point Singularities of Tensor Spin Liquids
• How quantum are classical spin ices?
• Dynamical structure factor of the three-dimensional quantum spin liquid candidate NaCaNi${}_2$F${}_7$
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Neutron Spectroscopic Study of Crystalline Electric Field Excitations in Stochiometric and Lightly Stuffed Yb2Ti2O7
• Ice: a strongly correlated proton system
• Quantum ether: photons and electrons from a rotor model
• Dimensional Evolution of Spin Correlations in the Magnetic Pyrochlore Yb2Ti2O7
• Coulomb gas transitions in three-dimensional classical dimer models
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Thermal conductivity of quantum magnetic monopoles in the frustrated pyrochlore Yb2Ti2O7
• Nematic, vector-multipole, and plateau-liquid states in the classical O(3) pyrochlore antiferromagnet with biquadratic interactions in applied magnetic field
• Time-reversal symmetric U(1) quantum spin liquids
• Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems
• Candidate quantum spin ice in the pyrochlore Pr${}_2$Hf${}_2$O${}_7$
• SU(2)-invariant spin-1/2 Hamiltonians with RVB and other valence bond phases
• Order by Disorder Spin Wave Gap in the XY Pyrochlore Magnet Er2Ti2O7
• Unconventional Magnetic Ground State in Yb${}_2$Ti${}_2$O${}_7$
• Fractionally charged topological point defects on the kagome lattice
• Antiferro-quadrupolar correlations in the quantum spin ice candidate Pr2Zr2O7
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Crystal field states in a Quantum Spin Ice]{Crystal field states of Pr${}^{3+}$ in the candidate quantum spin ice Pr${}_2$Sn${}_2$O${}_7$
• Energetic selection of ordered states in a model of the Er2Ti2O7 frustrated pyrochlore XY antiferromagnet
• Higher order effective low-energy theories
• Coulomb spin liquid in anion-disordered pyrochlore Tb${}_2$Hf${}_2$O${}_7$
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Bosonic Many-body Theory of Quantum Spin Ice
• High-dimensional fractionalization and spinon deconfinement in pyrochlore antiferromagnets
• Spin Liquid Regimes at Nonzero Temperature in Quantum Spin Ice
• Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7
• From Spin Glass to Quantum Spin Liquid Ground States in Molybdate Pyrochlores
• The mother of all states of the kagome quantum antiferromagnet
• Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce${}_2$Zr${}_2$O${}_7$
• High-accuracy variational Monte Carlo for frustrated magnets with deep neural networks
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Quantum effects in a half-polarized pyrochlore antiferromagnet
• Simple ${\mathbb{Z}}_2$ lattice gauge theories at finite fermion density
• Geometric frustration inherent to the trillium lattice, a sublattice of the B20 structure
• Spin liquid correlations, anisotropic exchange and symmetry breaking in Tb2Ti2O7
• Spin-Ice State of the Quantum Heisenberg Antiferromagnet on the Pyrochlore Lattice
• Low energy theory of the t-t'-t''-U Hubbard Model at half-filling: interaction strengths in cuprate superconductors and an effective spin-only description of La_2CuO_4
• Lieb-Schultz-Mattis type theorem with higher-form symmetry and the quantum dimer models
• Nd2Sn2O7: an all-in-all-out pyrochlore magnet with no divergence-free field and anomalously slow paramagnetic spin dynamics
• Thermodynamic properties of the Yb2Ti2O7 pyrochlore as a function of temperature and magnetic field: validation of a quantum spin ice exchange Hamiltonian
• Sweeping cluster algorithm for quantum spin systems with strong geometric restrictions
• Spin wave spectrum of the quantum ferromagnet on the pyrochlore lattice Lu2V2O7
• Thermal Hall effects in quantum magnets
• The (2+1)-d U(1) Quantum Link Model Masquerading as Deconfined Criticality
• Quadrupole Order in the Frustrated Pyrochlore Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Quantum criticality of two-dimensional quantum magnets with long-range interactions
• Quantum strings in quantum spin ice
• Experimental signatures of quantum and topological states in frustrated magnetism
• Correlations and confinement in non-planar two-dimensional dimer models
• Realistic scheme for quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical matter in $(2+1)$D
• Critical Correlations for Short-Range Valence-Bond Wave Functions on the Square Lattice
• Extended quantum U(1)-liquid phase in a three-dimensional quantum dimer model
• High-precision Monte Carlo study of several models in the three-dimensional U(1) universality class
• Spin slush in an extended spin ice model
• Scars from protected zero modes and beyond in $U(1)$ quantum link and quantum dimer models
• Ordering in a frustrated pyrochlore antiferromagnet proximate to a spin liquid
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Observing Monopoles in a Magnetic Analog of Ice
• Quantum and Classical Spins on the Spatially Distorted Kagome Lattice: Applications to Volborthite
• Quantum spin ice on the breathing pyrochlore lattice
• Topological Sector Fluctuations and Curie Law Crossover in Spin Ice
• Obtaining topological degenerate ground states by the density matrix renormalization group
• Topological Route to New and Unusual Coulomb Spin Liquids
• The frustrated Heisenberg antiferromagnet on the checkerboard lattice: the $J_1$--$J_2$ model
• Two-Dimensional Quantum XY Model with Ring Exchange and External Field
• Neutron spectroscopic study of crystal field excitations in Tb2Ti2O7 and Tb2Sn2O7
• Proposal for a [111] Magnetization Plateau in the Spin Liquid State of Tb2Ti2O7
• Static magnetic moments revealed by muon spin relaxation and thermodynamic measurements in quantum spin ice Yb${}_2$Ti${}_2$O${}_7$
• Novel Strongly Spin-Orbit Coupled Quantum Dimer Magnet: Yb${}_2$Si${}_2$O${}_7$
• Interfaces, Strings, and a Soft Mode in the Square Lattice Quantum Dimer Model
• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
• Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model
• Exact emergent higher-form symmetries in bosonic lattice models
• The Emergent Fine Structure Constant of Quantum Spin Ice Is Large
• Band gaps atlas for photonic crystals having the symmetry of the pyrochlore and kagome lattices
• Vibrating-coil magnetometry of the spin liquid properties of Tb2Ti2O7
• Quantum Kagome Ice
• Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO${}_4$ and beyond
• Emergence of Artificial Photons in an Optical Lattice
• Of chain-based order and quantum spin liquids in dipolar spin ice
• Magic in generalized Rokhsar-Kivelson wavefunctions
• Quantum simulation of interacting high-dimensional systems: the influence of noise
• Cluster-glass phase in pyrochlore XY antiferromagnets with quenched disorder
• Symmetry Breaking on the Three-Dimensional Hyperkagome Lattice of Na_4Ir_3O_8
• Entanglement Entropy of U(1) Quantum Spin Liquids
• An Introduction to Quantum Order, String-net Condensation, and Emergence of Light and Fermions
• Finite-temperature behavior of a classical spin-orbit-coupled model for ${\text{YbMgGaO}}_4$ with and without bond disorder
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
• Stochastic series expansion algorithm for the S=1/2 XY model with four-site ring exchange
• Ground state phase diagram of dipolar-octupolar pyrochlores
• The Ising model in a light-induced quantized transverse field
• Caution on emergent continuous symmetry: a Monte Carlo investigation of transverse-field frustrated Ising model on triangle and honeycomb lattices
• Order by disorder and gauge-like degeneracy in quantum pyrochlore antiferromagnet
• Models of three-dimensional fractional topological insulators
• A quantum liquid with deconfined fractional excitations in three dimensions
• Coulomb phase diagnostics as function of temperature, interaction range and disorder
• $C{P}^{N-1}$ Models at a Lifshitz Point
• Quantum criticality and excitations of a long-range anisotropic $XY$-chain in a transverse field
• Linear independence of nearest neighbor valence bond states on the kagome lattice and construction of SU(2)-invariant spin-1/2-Hamiltonian with a Sutherland-Rokhsar-Kivelson quantum liquid ground state
• Resonating singlet valence plaquettes
• Symmetry enriched U(1) quantum spin liquids
• Quantum effects on unconventional pinch point singularities
• Widely existing mixed phase structure of quantum dimer model on square lattice
• Classical and quantum theories of proton disorder in hexagonal water ice
• Order out of a Coulomb phase and Higgs transtion: frustrated transverse interactions of Nd2Zr2O7
• Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice
• Chiral RKKY interaction in Pr2Ir2O7
• Distinguishing dipolar and octupolar quantum spin ices using contrasting magnetostriction signatures
• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
• Ground state selection under pressure in the quantum pyrochlore magnet Yb2Ti2O7
• Evidence for unidimensional low-energy excitations as the origin of persistent spin dynamics in geometrically frustrated magnets
• The planar pyrochlore antiferromagnet: A large-N analysis
• Luttinger's theorem in presence of Luttinger surfaces
• Unravelling competing microscopic interactions at a phase boundary: a single crystal study of the metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$
• Order-by-disorder and quantum Coulomb phase in quantum square ice
• Half moons are pinch points with dispersion
• Kitaev Quantum Spin Liquids
• Fragmented monopole crystal, dimer entropy and Coulomb interactions in Dy${}_2$Ir${}_2$O${}_7$
• Degenerate perturbation theory of quantum fluctuations in a pyrochlore antiferromagnet
• Vacancy-induced spin textures and their interactions in a classical spin liquid
• Kagome chiral spin liquid as a gauged U(1) symmetry protected topological phase
• Proposal for the Detection of Magnetic Monopoles in Spin Ice via Nanoscale Magnetometry
• Theory of Ca${}_{10}$Cr${}_7$O${}_{28}$ as a bilayer breathing-kagome magnet: Classical thermodynamics and semi-classical dynamics
• Spin dynamics of the ordered dipolar-octupolar pseudospin-${}^1{/}_2$ pyrochlore Nd${}_2$Zr${}_2$O${}_7$ probed by muon spin relaxation
• Spin Ice Thin Film: Surface Ordering, Partial Magnetic Wetting and Emergent Square Ice
• Magnetic field effects in an octupolar quantum spin liquid candidate
• Quantum Monte Carlo simulations in the trimer basis: first-order transitions and thermal critical points in frustrated trilayer magnets
• Double Vibronic process in the quantum spin ice candidate Tb${}_2$Ti${}_2$O${}_7$ revealed by terahertz spectroscopy
• How many spin liquids are there in Ca${}_{10}$Cr${}_7$O${}_{28}$?
• Spin liquid and quantum phase transition without symmetry breaking in a frustrated three-dimensional Ising model
• Dynamics of Compact Quantum Electrodynamics at Large Fermion Flavor
• Low energy structure of spiral spin liquids
• Fractionalized charge excitations in a spin liquid on partially-filled pyrochlore lattice
• Gapped and gapless short range ordered magnetic states with $(\frac{1}{2},\frac{1}{2},\frac{1}{2})$ wavevectors in the pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+\delta }$
• Sample independence of magnetoelastic excitations in the rare earth pyrochlore Tb2Ti2O7
• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Uncovering footprints of dipolar-octupolar quantum spin ice from neutron scattering signatures
• Coulomb liquid phases of bosonic cluster Mott insulators on a pyrochlore lattice
• Competing orders in pyrochlore magnets from a ${\mathbb{Z}}_2$ spin liquid perspective
• Neutron scattering signatures of the 3D hyper-honeycomb Kitaev quantum spin-liquid
• Interplay of charge and spin fluctuations of strongly interacting electrons on the kagome lattice
• Zero-temperature Kosterlitz-Thouless transition in a two-dimensional quantum system
• Order and Disorder in AKLT Antiferromagnets in Three Dimensions
• Eminuscent phase in frustrated magnets: a challenge to quantum spin liquids
• Quantum spin ice under a [111] magnetic field: from pyrochlore to kagomé
• Spin liquid state in a rare-earth hyperkagome lattice
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Spin dynamics and unconventional Coulomb phase in Nd${}_2$Zr${}_2$O${}_7$
• Ultrasonic investigations of spin-ices Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$ in and out of equilibrium
• Finite-Volume Energy Spectrum, Fractionalized Strings, and Low-Energy Effective Field Theory for the Quantum Dimer Model on the Square Lattice
• Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid
• Anisotropic exchange Hamiltonian, magnetic phase diagram and domain inversion of Nd${}_2$Zr${}_2$O${}_7$
• Composite spin and quadrupole wave in the ordered phase of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Magnetization plateaus of an easy-axis Kagomé antiferromagnet with extended interactions
• Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice
• Coexistence of long-range and algebraic correlations for short-range valence-bond wave functions in three dimensions
• Lattice T-duality from non-invertible symmetries in quantum spin chains
• Spectral functions and optical conductivity of spinless fermions on a checkerboard lattice
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Monopole holes in a partially ordered spin liquid
• Hidden order and symmetry protected topological states in quantum link ladders
• Devil's staircases, quantum dimer models, and stripe formation in strong coupling models of quantum frustration
• String flux mechanism for fractionalization in topologically ordered phases
• Hydrogenic states of monopoles in diluted quantum spin ice
• Quantum field theory of topological spin dynamics
• Spinon walk in quantum spin ice
• Acoustic signatures of the phases and phase transitions in Yb${}_2$Ti${}_2$O${}_7$
• Quantum disordered insulating phase in the frustrated cubic-lattice Hubbard model
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Observation of Flat Bands and Dirac Cones in a Pyrochlore Lattice Superconductor
• Trimer quantum spin liquid in a honeycomb array of Rydberg atoms
• Fractonic plaquette-dimer liquid beyond renormalization
• Variational classical networks for dynamics in interacting quantum matter
• Topological order: from long-range entangled quantum matter to an unification of light and electrons
• Fracton magnetohydrodynamics
• Quantum Spin Supersolid as a precursory Dirac Spin Liquid in a Triangular Lattice Antiferromagnet
• Engineered Open Systems and Quantum Simulations with Atoms and Ions
• Frustrated magnetism in the Heisenberg pyrochlore antiferromagnets $A$Yb${}_2$$X$${}_4$ ($A$ = Cd, Mg, $X$ = S, Se)
• Semiclassical degeneracies and ordering for highly frustrated magnets in a field
• Superfluid Insulator Transitions of Hard-Core Bosons on the Checkerboard Lattice
• Absence of Finite Temperature Phase Transitions in the X-Cube Model and its ${\mathbb{Z}}_p$ Generalization
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Single crystal growth, structure and magnetic properties of Pr2Hf2O7 pyrochlore
• Compact $z=2$ Electrodynamics in 2+1 dimensions: Confinement with gapless modes
• Crystal-electric-field excitations in a quantum-spin-liquid candidate NaErS${}_2$
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
• A Bionic Coulomb Phase on the Pyrochlore Lattice
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• Model Realization and Numerical Studies of a Three-Dimensional Bosonic Topological Insulator and Symmetry-Enriched Topological Phases
• Fingerprints of quantum spin ice in Raman scattering
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Higher-form Symmetries under Weak Measurement
• Beyond magnons in Nd2ScNbO7: An Ising pyrochlore antiferromagnet with all in all out order and random fields
• Sublattice scars and beyond in two-dimensional $U(1)$ quantum link lattice gauge theories
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Towards the real-time evolution of gauge-invariant ${\mathbb{Z}}_2$ and $U(1)$ quantum link models on NISQ Hardware with error-mitigation
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Topological Superconductivity in Metal/Quantum-Spin-Ice Heterostructures
• Free coherent spinons in quantum square ice
• Realization of fractonic quantum phases in the breathing pyrochlore lattice
• Effective point-charge analysis of crystal electric fields -- application to rare-earth pyrochlores and tripod kagome magnets R3Mg2Sb3O14
• Flux Quantization Due to Monopole and Dipole Currents
• Quantum spin ice in three-dimensional Rydberg atom arrays
• Mott-Hubbard transition and spin-liquid state on the pyrochlore lattice
• Confinement of monopoles and scaling theory near unconventional critical points
• Electric field control of emergent electrodynamics in quantum spin ice
• Semi-classical Approach to Quantum Spin Ice
• Maxwell electromagnetism as an emergent phenomenon in condensed matter
• Effective Hamiltonians for large-S pyrochlore antiferromagnet
• Theory of partial quantum disorder in the stuffed honeycomb Heisenberg antiferromagnet
• Fractionalization and Anomalies in Symmetry-Enriched U(1) Gauge Theories
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Magnetic Order with Fractionalized Excitations: Applications to ${\mathrm{Yb}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$
• Note on Generalized Symmetries, Gapless Excitations, Generalized Symmetry Protected Topological states, and Anomaly
• Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• Maxwell Theory on a Compact Manifold as a Topologically Ordered System
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• Pascal's Triangle Fractal Symmetries
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Unconventional Superconducting Symmetry in a Checkerboard Antiferromagnet
• The Polarized Monopole Liquid: a Coulomb phase in a fluid of magnetic charges
• ${\mathbb{Z}}_3$ Topological Order in Face Centered Cubic Quantum Plaquette Model
• A frustrated spin-1/2 Heisenberg antiferromagnet on a chevron-square lattice
• The frustration-free fully packed loop model
• Three-dimensional nematic spin liquid in the stacked triangular lattice 6H-B structure
• Continuum excitation and pseudospin wave in quantum spin-liquid and quadrupole ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Analytical theory for proton correlations in common water ice $I_h$
• Monte Carlo study of the discontinuous quantum phase transition in the transverse-field Ising model on the pyrochlore lattice
• Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids
• Geometric criticality between plaquette phases in integer-spin kagome XXZ antiferromagnets
• Anomalously slow spin dynamics and short-range correlations in the quantum spin ice systems Yb2Ti2O7 and Yb2Sn2O7
• Multiple time scales from hard local constraints: glassiness without disorder
• Spectroscopic fingerprints of gapless type-II fracton phases
• Gapless Topological Order, Gravity, and Black Holes
• Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks
• Charge-Neutral Electronic Excitations in Quantum Insulators
• Emergent photons and fractionalized excitations in a quantum spin liquid
• Peering into the darkness: vison-generated photon mass in quantum spin ice
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Fluctuation-induced First Order Quantum Phase Transition of U(1) Quantum Spin Liquid in Pyrochlore Quantum Antiferromagnet
• Spin correlations of quantum-spin-liquid and quadrupole-ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Distinguishing thermodynamics and spectroscopy for octupolar U(1) spin liquid of Ce-pyrochlores
• Four revolutions in physics and the second quantum revolution -- a unification of force and matter by quantum information
• A mean field approach for string condensed states
• Multi-scale Quantum Criticality driven by Kondo-lattice Coupling in Pyrochlore Systems
• Quantum percolation of monopole paths and the response of quantum spin ice
• Recent progress on cluster and meron algorithms for strongly correlated systems
• Orientation Dependence of the Magnetic Phase Diagram of Yb${}_2$Ti${}_2$O${}_7$
• Clusterization transition between cluster Mott insulators on a breathing Kagomé lattice
• Fermionic quantum dimer and fully-packed loop models on the square lattice
• U(1) spin liquids and valence bond solids in a large-N three-dimensional Heisenberg model
• A pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets
• Hydrodynamics of quantum spin liquids
• Four-coloring model and frustrated superfluidity in the diamond lattice
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• Polarization Plateaus in Hexagonal Water Ice $I_h$
• Asymptotically free lattice gauge theory in five dimensions
• Ultrasound detection of emergent photons in generic quantum spin ice
• The Classical Heisenberg Model on the Centred Pyrochlore Lattice
• Classification of Classical Spin Liquids: Topological Quantum Chemistry and Crystalline Symmetry
• Quantum Simulation of Two-Dimensional $\mathrm{U}(1)$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
• Origin of the hidden energy scale and the $f$-ratio in geometrically frustrated magnets
• On the Entanglement Entropy of Maxwell Theory: A Condensed Matter Perspective
• Spin solid phases of spin 1 and spin 3/2 antiferromagnets on a cubic lattice
• The Néel-VBS transition in three-dimensional SU($N$) antiferromagnets
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Fragile spin liquid in three dimensions
• Emergent Gauge Fields in Band Insulators
• Hybrid Dyons, inverted Lorentz force and magnetic Nernst effect in quantum spin ice
• Numerical simulation of non-abelian anyons
• Spinless fermions in a ${\mathbb{Z}}_2$ gauge theory on the triangular ladder
• Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Dynamical Axions in $U(1)$ Quantum Spin Liquids
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Goldstone modes in the emergent gauge fields of a frustrated magnet
• Screening and the Pinch Point Paradox in Spin Ice
• Theory Perspective: SCES 2016
• Fermionic spinon and holon statistics in the pyrochlore quantum spin liquid
• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Thermodynamic properties of quadrupolar states in the frustrated pyrochlore magnet Tb${}_2$Ti${}_2$O${}_7$
• Persistent superfluid phase in a three-dimensional quantum XY model with ring exchange
• [111]-strained spin ice: Localization of thermodynamically deconfined monopoles
• Classical correlations of defects in lattices with geometrical frustration in the motion of a particle
• Phenomenological approach to hyperkagome spin liquid: gauge fields and spinons without slave particles
• Emergent Quantum Mechanics at the Boundary of a Local Classical Lattice Model
• Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet
• Anderson localization of emergent quasiparticles: Spinon and vison interplay at finite temperature in a ${\mathbb{Z}}_2$ gauge theory in three dimensions
• Magnetic Monopole Supercurrent through a Quantum Spin Ice Tunnel Junction
• Spectral response of disorder-free localized lattice gauge theories
• Synchronization transition in the double dimer model on the cubic lattice
• Frustrated antiferromagnetic honeycomb-tunnel-like lattice CuRE2Ge2O8 (RE=Pr, Nd, Sm, and Eu)
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Two-Peak Heat Capacity Accounts for $R\ln (2)$ Entropy and Ground State Access in the Dipole-Octupole Pyrochlore Ce${}_2$Hf${}_2$O${}_7$
• Observation of emergent photon in Monte Carlo simulation of exciton condensate
• Tunable critical correlations in kagome ice
• Classical ${\mathbb{Z}}_2$ spin liquid on the generalized four-color Kitaev model
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• Ground-state phase structure of the spin-$\frac{1}{2}$ anisotropic planar pyrochlore
• Signatures of spinon dynamics and phase structure of dipolar-octupolar quantum spin ices in two-dimensional coherent spectroscopy
• Long-wavelength correlations in ferromagnetic titanate pyrochlores as revealed by small angle neutron scattering
• Spin structure factor and thermodynamics in the antiferromagnetic quantum Ising model in the pyrochlore lattice
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Supercooled Jahn-Teller Ice
• Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field
• Magnetic properties of the spiral spin liquid and surrounding phases in the square lattice XY model
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Interplay of symmetry breaking and deconfinement in 3D quantum vertex models
• The quantum spin quadrumer
• Spin-lattice Coupling in U(1) Quantum Spin Liquids
• Vertex Models and Random Labyrinths: Phase Diagrams for Ice-type Vertex Models
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Quantum valence bond ice theory for proton-driven quantum spin-dipole liquids
• Broken-Symmetry Ground States of the Heisenberg model on the Pyrochlore Lattice
• Field-temperature phase diagram of the enigmatic Nd${}_2$(Zr${}_{1-x}$Ti${}_x$)${}_2$O${}_7$ pyrochlore magnets
• Kitaev honeycomb antiferromagnet in a field: quantum phase diagram for general spin
• Quantum Kasteleyn transition
• Order, Disorder and Monopole Confinement in the Spin-$1/2$ XXZ Model on a Pyrochlore Tube
• Neutron scattering from fragmented frustrated magnets
• Classical spin models of the windmill lattice and their relevance for PbCuTe${}_2$O${}_6$
• Understanding Symmetry Breaking in Twisted Bilayer Graphene from Cluster Constraints
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Single Crystal Diffuse Neutron Scattering Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$: No Apparent Octupolar Correlations Above $T=0.05$ K
• Classical and quantum spin liquids
• Pinch points and half-moons in dipolar-octupolar Nd${}_2$Hf${}_2$O${}_7$
• Emergence of a Dimer-Dimer Interaction in the Low-Energy Effective Quantum-Dimer Model of a Diamond-Like-Decorated Square-Lattice Heisenberg Antiferromagnets with Further Neighbor Couplings
• Geometrically Frustrated Coarsening Dynamics in Spinor Bose-Fermi Mixtures
• Quantum order by disorder in a spin-one frustrated magnet on the kagome lattice
• A note on electromagnetic edge modes
• Electric Field Response In Breathing Pyrochlores
• Hopfions in lattice dimer model
• Néel Ordering in the Distorted Honeycomb Pyrosilicate: C-Er${}_2$Si${}_2$O${}_7$
• Lattice models for non-Fermi liquid metals
• Loops, sign structures and emergent Fermi statistics in three-dimensional quantum dimer models
• Exact diagonalization for spin-1/2 spin ice pyrochlores
• DanceQ: High-performance library for number-conserving bases
• Nonlinear Lifshitz Photon Theory in Condensed Matter Systems
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Models of interacting bosons with exact ground states: a unified approach
• Persistent dynamic magnetic state in artificial honeycomb spin ice
• Ergodic Archimedean dimers
• Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states
• Strings in strongly correlated electron systems
• Metal-insulator transitions in pyrochlore oxides
• Inelastic neutron scattering on Ce pyrochlores: Signatures of electric monopoles
• Probing topological properties of 3D lattice dimer model with neural networks
• Classical fracton spin liquid and Hilbert space fragmentation in a 2D spin-$1/2$ model
• Charge degrees in the quarter-filled checkerboard lattice
• First-principles design of the spinel iridate Ir2O4 for high-temperature quantum spin ice
• Flux roughening in spin ice with mixed $\pm J$ interactions
• Coulombic antiferromagnet in spin-1/2 pyrochlores with dipole-octupole doublets
• Quantum-critical electrodynamics of Luttinger fermions
• Symmetry-deformed toric codes and the quantum dimer model
• Depleted pyrochlore antiferromagnets
• Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Breakdown of the thermodynamic limit in quantum spin and dimer models
• Vortex description of the fractionalized phase in exciton bose condensate
• Generalised route to effective field theories for quantum systems with local constraints
• The Boson-Hubbard Model on a Kagome Lattice with Sextic Ring-Exchange Terms
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• Crystalline phases and devil's staircase in qubit spin ice
• Standard model of electromagnetism and chirality in crystals
• Fractionally charged excitations on frustrated lattices
• A frustrated spin-1 $J_1$--$J_2$ Heisenberg antiferromagnet: An anisotropic planar pyrochlore model
• Crystallography, Group Cohomology, and Lieb-Schultz-Mattis Constraints
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Coupling quantum spin ice to matter on the centered pyrochlore lattice
• Detecting the Largest Correlations using the Correlation Density Matrix: a Quantum Monte Carlo Approach
• Geometric fragmentation and anomalous thermalization in cubic dimer model
• Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice
• Quantitative functional renormalization for three-dimensional quantum Heisenberg models
• Mean-field theory for confinement transitions and magnetization plateaux in spin ice
• Obstructed Atomic Insulators and Superfluids of Fermions Coupled to ${\mathbb{Z}}_2$ Gauge Fields
• Exactly Solvable Topological Phase Transition in a Quantum Dimer Model
• Hearing the light: stray-field noise from the emergent photon in quantum spin ice
• Disorder-induced proximate quantum spin ice phase in Pr2Sn2O7
• Phases of Interacting Fibonacci Anyons on a Ladder at Half-Filling
• Anisotropic Spin Ice on a Breathing Pyrochlore Lattice
• Ground-State-Based Model Reduction with Unitary Circuits
• Subsystem symmetries, critical Bose surface, and immobile excitations in an extended compass model
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields
• Quantum Spin Superfluid from Bose-Einstein Condensation of Spinons in Pyrochlore Spin Ice
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• A theory of time based on wavefunction collapse
• Ice on curved surfaces: defect rings and differential local dynamics
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models
• Disorder-free localization transition in a two-dimensional lattice gauge theory
• Fermionized dual vortex theory for magnetized kagomé spin liquid
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
• Kagome edge states under lattice termination, spin-orbit coupling, and magnetic order
• Disorder from disorder and confinement in the quantum Ising model in the pyrochlore lattice